Publications related to Robust Pole Placement of Systems with Polytopic Uncertainty Via Convex Optimization

Data-driven LPV Control for Micro-disturbance Rejection in a Hybrid Isolation Platform

A novel approach for linear parameter-varying (LPV) controller synthesis for adaptive rejection of time-varying sinusoidal disturbances is proposed. Only the frequency response data of a linear time-invariant (LTI) multiple-input multiple-output (MIMO) sys ...

2024

Stochastic homogenization of degenerate integral functionals with linear growth

Matthias Ruf

We study the limit behaviour of sequences of non-convex, vectorial, random integral functionals, defined on W1,1, whose integrands are ergodic and satisfy degenerate linear growth conditions. The latter involve suitable random, scale-dependent weight-funct ...

2023

A convex set of robust D—stabilizing controllers using Cauchy's argument principle

Alireza Karimi, Philippe Louis Schuchert

A new approach is presented to obtain a convex set of robust D—stabilizing fixed structure controllers, relying on Cauchy's argument principle. A convex set of D—stabilizing controllers around an initial D—stabilizing controller for a multi-model set is re ...

Elsevier2022

On the Equivalence of Youla, System-Level, and Input-Output Parameterizations

Maryam Kamgarpour, Luca Furieri, Yu Zheng

A convex parameterization of internally stabilizing controllers is fundamental for many controller synthesis procedures. The celebrated Youla parameterization relies on a doubly coprime factorization of the system, while the recent system-level and input-o ...

2021

A first-order primal-dual method with adaptivity to local smoothness

Volkan Cevher, Maria-Luiza Vladarean

We consider the problem of finding a saddle point for the convex-concave objective

\min_x \max_y f(x) + \langle Ax, y\rangle - g^*(y)

, where

f

is a convex function with locally Lipschitz gradient and

g

is convex and possibly non-smooth. We propose an ...

2021

System-level, Input-output and New Parameterizations of Stabilizing Controllers, and Their Numerical Computation

Maryam Kamgarpour, Luca Furieri, Na Li

It is known that the set of internally stabilizing controller

\mathcal{C}_{\text{stab}}

is non-convex, but it admits convex characterizations using certain closed-loop maps: a classical result is the {Youla parameterization}, and two recent notions are t ...

2020

A lower bound on opaque sets

János Pach

It is proved that the total length of any set of countably many rectifiable curves whose union meets all straight lines that intersect the unit square U is at least 2.00002. This is the first improvement on the lower bound of 2 known since 1964. A similar ...

ELSEVIER SCIENCE BV2019

Robust control of systems with sector nonlinearities via convex optimization: A data-driven approach

Alireza Karimi, Achille Nicoletti

In this paper, a new data-driven method for designing robust controllers is proposed for systemswith sector-bounded nonlinearities and multimodel uncertainties. The results from the circle criterion are used to generate necessary and sufficient convex cons ...

WILEY2019

Discrete-time regional pole-placement using convex approximations: Theory and application to a boost converter

Emilio Maddalena

The problem of allocating the closed-loop poles of linear systems in specific regions of the complex plane defined by discrete time-domain requirements is addressed. The resulting non-convex set is inner-approximated by a convex region described with linea ...

2019

A data-driven approach to model-reference control with applications to particle accelerator power converters

Alireza Karimi, Achille Nicoletti, Michele Martino

A new model-reference data-driven approach is presented which uses the frequency response data of a system in order to avoid the problem of unmodeled dynamics associated with low-order parametric models. It is shown that a convex optimization problem can b ...

PERGAMON-ELSEVIER SCIENCE LTD2019

Robust Pole Placement of Systems with Polytopic Uncertainty Via Convex Optimization

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Data-driven LPV Control for Micro-disturbance Rejection in a Hybrid Isolation Platform

Stochastic homogenization of degenerate integral functionals with linear growth

A convex set of robust D—stabilizing controllers using Cauchy's argument principle

On the Equivalence of Youla, System-Level, and Input-Output Parameterizations

A first-order primal-dual method with adaptivity to local smoothness

System-level, Input-output and New Parameterizations of Stabilizing Controllers, and Their Numerical Computation

A lower bound on opaque sets

Robust control of systems with sector nonlinearities via convex optimization: A data-driven approach

Discrete-time regional pole-placement using convex approximations: Theory and application to a boost converter

A data-driven approach to model-reference control with applications to particle accelerator power converters

Data-driven LPV Control for Micro-disturbance Rejection in a Hybrid Isolation Platform

Stochastic homogenization of degenerate integral functionals with linear growth

A first-order primal-dual method with adaptivity to local smoothness

Discrete-time regional pole-placement using convex approximations: Theory and application to a boost converter

A lower bound on opaque sets

A convex set of robust D—stabilizing controllers using Cauchy's argument principle

Robust control of systems with sector nonlinearities via convex optimization: A data-driven approach

A data-driven approach to model-reference control with applications to particle accelerator power converters

System-level, Input-output and New Parameterizations of Stabilizing Controllers, and Their Numerical Computation

On the Equivalence of Youla, System-Level, and Input-Output Parameterizations